Calculus

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Solid and domain created from the intersection of two paraboloids.

This diagram depicts the intersection of two paraboloids in three-dimensional space. The intersecting region, labeled W, forms a bounded 3D solid, while the domain (D) is projected onto the xy-plane, illustrating the area over which the two surfaces overlap.

This diagram depicts the intersection of two paraboloids in three-dimensional space. The intersecting region, labeled W, forms a bounded 3D solid, while the domain (D) is projected onto the xy-plane, illustrating the area over which the two surfaces overlap.

This visual is essential for multivariable calculus and advanced geometry textbooks, supporting topics like volume integration with respect to two surfaces, intersections in 3D, and constrained optimization problems.

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